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Finding the Third Proportional to 316,026 and 587,216

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Solution

The third proportional to 316,026 and 587,216 is: 1,091,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,026 : 587,216 = 587,216 : x
  2. Step 2: Convert to fraction form
    316,026/587,216 = 587,216/x
  3. Step 3: Cross multiply
    316,026x = 587,216 × 587,216
  4. Step 4: Simplify right side
    316,026x = 344,822,630,656
  5. Step 5: Solve for x
    x = 344,822,630,656/316,026
  6. Step 6: Final answer
    x = 1,091,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.